The sum of -4 and 5 times a number is multiplied by 3. The result is 212 less than 7 times the number.?

Question

What is the number..?

Answer 1

let x= number

3 (5x+(-4)) = 212- 7x
3 (5x-4) = 212- 7x
15x-12 = 212-7x
15x+7x = 212+12
22x = 224
x = 224/22
x = 10+

i don't know if my answer is correct.
i can't analyze your problem well because there is problem in the construction of your sentence.

above answers:

the sum of -4 and 5 times a number is multiplied by 3. the result is 212 less (w/o than) 7 times the number.

another answer could be:
((-4+5)x)3=212-7x
3x+7x=212
x=21.2

why is the answer not perfect.
if it is an assignment given by a teacher,
seldom they would give an assignment without an integer answer.

maybe the second sentence is: the result is 7 times the number less 212?

3(5x-4)= 7x-212
15x-12=7x-212
8x =-200
x =-24

Answer 2

3 (-4 + 5x) = 7x - 212

this is how you would represent your problem algebraicly. on the left hand side is the first part of your question, and on the right is the second

then expand the bracket

-12 + 15x = 7x - 212

move the -212 over to the left, and move the 15x over to the right

-12 + 212 = 7x - 15x

200 = -8x

x = -25

this is your answer

Answer 3

First, write your equation. (-4 + 5x)3=7x-212. Then you may distribute and solve. So...-12+15x = 7x - 212. add 12 to both sides, subtract 7x from both sides. 8x = -200. Divide for x= -25. Plug that back in for x to check your work. (-4 + 5(-25))3 = -387 and 7(-25) -212 = -387.

Answer 4

suppose x is a unknown number.

3(-4+5*x)=7x-212
-12+15x=7x-212
x(15-7)=-212+12
8x=-200
x=-200/8=-25

Answer 5

(-4+5x)*3+212=7x
-12+15x+212=7x
-8x = 200
x = -25

Answer 6

3(-4+5n)=212-7n
-12+15n=212-7n
12 +7n = 12+212+7n
22n=224
n=10.18

Answer 7

3(-4+5x)=7x-212
-12+15x=7x-212
8x=-212+12
8x=-200
x=-200/8
-25

Answer 8

(-4+5x)*3=7x-212

x=28